Some applications of dualizing complexes


James Zhang


Abstract: We will report some recent works of Jorgensen, Wu and Yekutieli on applications of dualizing complexes which introduced by Yekutieli.

(1) Catenarity of noetherian complete semilocal PI algebras.

(2) Homological identities such as Bass' theorem, the Auslander-Buchsbaum formula and the no-holes theorem.

(3) Gorensteinness of filtered noetherian affine PI Hopf algebras.



created Mon Mar 20 10:53:33 PST 2000